Contact The Learning Centre

General algebra


  • The reverse process to expanding is called factorisation. In this case we are given an expression which is a sum of terms and we convert it to a product of two or more terms.
  • Expressions may be factorised by removing factors common to two or more terms and then by grouping and if necessary regrouping.
  • For example: \(
    \newcommand{\eqncomment}[2]{\small{\text{ #2}} } 
    && 3x+3x^2 \\
    &=& 3\times x+2x\times x & \eqncomment{0.4}{where \(x\) is the common factor} \\
    &=& x(3+2x)
  • Another example of factorising:
2x^{3} +4x^{2}+6x = 2x(x^{2}+2x+3)
where \(2x\) is the common factor.

More info